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Finding the Fourth Proportional to 6,578, 9,867 and 1,714

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Solution

The fourth proportional to 6,578, 9,867 and 1,714 is: 2,571

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,867 = 1,714 : x
  2. Step 2: Convert to fraction form
    6,578/9,867 = 1,714/x
  3. Step 3: Cross multiply
    6,578x = 9,867 × 1,714
  4. Step 4: Simplify right side
    6,578x = 16,912,038
  5. Step 5: Solve for x
    x = 16,912,038/6,578
  6. Step 6: Final answer
    x = 2,571

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.